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Finding the Fourth Proportional to 198,193.48, 297,212.46 and 79,842.76

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Solution

The fourth proportional to 198,193.48, 297,212.46 and 79,842.76 is: 119,732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,193.48 : 297,212.46 = 79,842.76 : x
  2. Step 2: Convert to fraction form
    198,193.48/297,212.46 = 79,842.76/x
  3. Step 3: Cross multiply
    198,193.48x = 297,212.46 × 79,842.76
  4. Step 4: Simplify right side
    198,193.48x = 23,730,263,112.79
  5. Step 5: Solve for x
    x = 23,730,263,112.79/198,193.48
  6. Step 6: Final answer
    x = 119,732.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.